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Finding the Fourth Proportional to 9,227.76, 13,833.11 and 3,679.75

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Solution

The fourth proportional to 9,227.76, 13,833.11 and 3,679.75 is: 5,516.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.76 : 13,833.11 = 3,679.75 : x
  2. Step 2: Convert to fraction form
    9,227.76/13,833.11 = 3,679.75/x
  3. Step 3: Cross multiply
    9,227.76x = 13,833.11 × 3,679.75
  4. Step 4: Simplify right side
    9,227.76x = 50,902,368.12
  5. Step 5: Solve for x
    x = 50,902,368.12/9,227.76
  6. Step 6: Final answer
    x = 5,516.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.